My pump started weeping oil at about 2,000 miles. The quantity was small but it did wick around the cylinder head to block crevices initially causing me some concern until I cleaned it off with some brake clean and confirmed it was just the water pump.
I used a rather unorthodox method of resealing it.
1: remove oil dipstick and radiator cap, not the expansion tank cap but the radiator cap itself. THIS IS VERY IMPORTANT!, if you don't remove the oil dipstick AND the RADIATOR cap (not the expansion tank cap!!!) you risk pressurizing these systems and blowing a lot of shit up in the next step!
2: clean the inside of the water pump cavity by squirting lots of soap and water in the weep hole
3: take a blow gun with a rubber tip attached to an air compressor and pressurize the hell out of the water pump weep hole cavity.
4: Bleed the air out of the cooling system that this procedure installs using the bleed bolt and procedure BMW prescribes.
This method worked for me, or at least it has for the last 3,000 miles, no more oil weep.
I believe the deal is during assembly the lip on the oil seal got turned inside out on the pump shaft and pressurizing the cavity reversed it.
I have some experience using this method from my Volvo service manager days on all manner of seals when lip reversal is the problem and I can somehow get air pressure on the outside of the seal.
THIS IS NOT an approved BMW method. My BMW dealership's service manager was appalled at my method lol. On the other hand he is not going to void my water pumps warranty because he had already ordered another pump to replace mine before I fixed it on my own, now he has a pump in stock if someone else needs it. or if mine starts leaking again some day.
The F800GS demonstrator at same dealership also weeps oil from this hole but only a very tiny amount, much less then mine did. As I understand it BMW may not warranty a pump for a very slight weep but will for a drip like mine had. Not surprising, Volvo does exactly the same.
I would not suggest this procedure for anyone not qualified and it is easiest to just let the dealer deal with it, but it may be useful for anyone out of warranty although it will only help if the oil or water seal lip is truly reversed.
Once again, if you do this, remove the oil dipstick and radiator cap and leave them off during pressurizing the weep hole cavity. Then bleed your cooling system of air bubbles.
Neither is hard but if you don't do them BAD things will happen [
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